Answer:
cool good me hungry i am kinda hungry
Step-by-step explanation:
Answer:
(x - 6)^2 = 42
Step-by-step explanation:
Using " ^ " to indicate exponentiation, we have:
x^2 - 12x -6=0
Here the coefficients of this quadratic equation are a = 1, b = -12 and c = -6.
Start by taking HALF of the coefficient of x, that is, HALF of -12. We get -6.
Next, square this result: (-6)^2 = 36.
Finally, add this 36 to both sides, obtaining:
x^2 - 12x + 36 - 6 = 36
Rewriting the first three terms, we get:
(x - 6)^2 - 6 = 36, or
(x - 6)^2 = 42 This is the end result to "completing the square."
If you want to go further and actually solve for x, then see below:
Taking the square root of both sides, we get
x - 6 = ±√42
Then x = 6 ± √42, or
x = 6 + √42 and
x = 6 - √42
Im learning this too right now hope this helps
1.you get y by itself and put what y equals where y is in the other equation
y=2x. x+y=12
x+2x=12
3x=12. (divided 3 on both sides)
x=4
2.after you find x(or y) put it in one of the problems above and solve for whats missing which in this case is y
y=2(4) 4+y=12
y=8. -4. -4
y=8
Answer:
The point (-3, 2) lies outside of the circle centered at (4, 0) with radius 5.
Step-by-step explanation:
The distance between two points (x₁, y₁) and (x₂, y₂) on the x-y plane can be calculated with:
√((x₁ - x₂)² + (y₁ - y₂)²)
So in this case, with the points (-3, 2) and (4, 0), the distance is:
√((-3 - 4)² + (2 - 0)²)
√(49 + 4)
√(53) ≈ 7.28
Since 7.28 > 5, the point (-3, 2) lies outside of the circle centered at (4, 0) with radius 5.
Answer:
log(5/4)
Step-by-step explanation:
You have to apply the properties of logarithms to the given expression in order to obtain a form with a single logarithm.
For example, the quotient rule:
In this case, log(x) = log (5/6 ) and log(y)= log (2/3)
Therefore x = 5/6 and y = 2/3
Applying the rule:
log (5/6 )− log (2/3) = 
Solving the argument of the logarithm (The division of the fractions)
The equivalent form is:
log(5/4)
